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Characteristic Conditions for the Generation of α-Times Resolvent Families on a Hilbert Space

Characteristic Conditions for the Generation of α-Times Resolvent Families on a Hilbert Space
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摘要 In 2000,Shi and Feng gave the characteristic conditions for the generation of C0semigroups on a Hilbert space.In this paper,we will extend them to the generation of α-times resolvent operator families.Such characteristic conditions can be applied to show rank-1 perturbation theorem and relatively-bounded perturbation theorem for α-times resolvent operator families. In 2000,Shi and Feng gave the characteristic conditions for the generation of C0semigroups on a Hilbert space.In this paper,we will extend them to the generation of α-times resolvent operator families.Such characteristic conditions can be applied to show rank-1 perturbation theorem and relatively-bounded perturbation theorem for α-times resolvent operator families.
作者 Ru LIU Miao LI
机构地区 Department of Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 2011年第3期420-428,共9页 数学研究与评论（英文版）
基金 Supported by the National Natural Science Foundation of China (Grant No.10971146)
关键词 α-times resolvent family RESOLVENT rank-1 perturbation relatively-bounded perturbation. α-times resolvent family resolvent rank-1 perturbation relatively-bounded perturbation.
分类号 O175.4 [理学—基础数学]
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参考文献8

  • 1SHI Donghua, FENG Dexing. Characteristic conditions of the generation of Co semigroups in a Hilbert space [J]. J. Math. Anal. Appl., 2000, 2,17(2): 356-376.
  • 2BAJLEKOVA E. Fractional evolution equations in Banach spaces [D]. Ph.D. Thesis, Eindhoven University of Technology, Eindhoven, 2001.
  • 3ARENDT W, BATTY C J K. Rank-1 perturbations of cosine functions and semigroups [J]. J. Funct. Anal., 2006, 238(1): 340-352.
  • 4PAZY A. Semigroups of Linear Operators and Applications to Partial Differential Equations [M]. Springer- Verlag, New York, 1983.
  • 5ENGEL K J, NAGEL R. One-Parameter Semigroups for Linear Evolution Equations [M]. Springer-Verlag, New York, 2000.
  • 6ARENDT W. Vector-valued Laplace transforms and Cauchy problems [J]. Israel J. Math., 1987, 59(3): 327- 352.
  • 7ZHONG Yuquan. The Theory of Complex Functions [M]. Beijing: Higher Education Press, 1979.
  • 8KAISER C, WEIS L. A perturbation theorem for operator semigroups in Hilbert spaces [J]. Semigroup Forum, 2003, 67(1): 63-75.
Journal of Mathematical Research and Exposition
2011年 第3期

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